Why Minimum Window Substring in DSA Typescript?

The Big Idea

Discover how to find the tiniest piece of text that holds all your important clues without endless searching!

The Scenario

Imagine you have a long paragraph and you want to find the shortest part that contains all the important keywords you need for your research.

Doing this by reading every possible part manually is tiring and slow.

The Problem

Manually checking every possible substring to see if it contains all keywords takes a lot of time and effort.

It's easy to miss some keywords or waste time checking unnecessary parts.

The Solution

The Minimum Window Substring method quickly finds the smallest part of the text that has all the keywords.

It uses a smart sliding window to move through the text only once, saving time and avoiding mistakes.

Before vs After

✗ Before

for (let start = 0; start < text.length; start++) {
  for (let end = start; end < text.length; end++) {
    if (substring from start to end contains all keywords) {
      update shortest substring
    }
  }
}

✓ After

let left = 0, right = 0;
while (right < text.length) {
  add text[right] to window
  while (window contains all keywords) {
    update shortest substring
    remove text[left] from window
    left++
  }
  right++
}

What It Enables

This method makes it easy to find the smallest section containing all needed items quickly and efficiently.

Real Life Example

Finding the shortest part of a document that contains all the names of people you want to contact.

Key Takeaways

Manual search is slow and error-prone.

Minimum Window Substring uses a sliding window to solve the problem efficiently.

It helps find the smallest substring containing all required characters or words.

Practice

1. What is the main goal of the Minimum Window Substring problem?

easy

A. Sort characters of a string in ascending order

B. Find the smallest substring in a string that contains all characters of another string

C. Count the number of substrings containing a specific character

D. Find the longest substring without repeating characters

Solution

1. Step 1: Understand the problem statement

   The problem asks to find the smallest part of a string that has all characters from another string.

2. Step 2: Identify the goal

   The goal is to find the minimum length substring that contains all required characters, not just any substring.

3. Final Answer:

   Find the smallest substring in a string that contains all characters of another string -> Option B

4. Quick Check:

   Minimum window substring = smallest substring with all chars [OK]

Hint: Look for smallest substring covering all target chars [OK]

Common Mistakes:

• Confusing with longest substring problems
• Ignoring the requirement to include all characters
• Thinking it's about sorting characters

2. Which of the following TypeScript code snippets correctly initializes a frequency map for characters in string t for the Minimum Window Substring problem?

easy

A. const freqMap = {}; for (let i = 0; i < t.length; i++) { freqMap[t[i]] = freqMap[t[i]] + 1; }

B. const freqMap = new Map(); for (const ch of t) { freqMap[ch] = freqMap[ch] + 1; }

C. const freqMap = new Map(); for (const ch of t) { freqMap.set(ch, (freqMap.get(ch) ?? 0) + 1); }

D. const freqMap = new Map(); for (const ch of t) { freqMap.set(ch, freqMap.get(ch) + 1); }

Solution

1. Step 1: Check correct Map usage in TypeScript

   const freqMap = new Map(); for (const ch of t) { freqMap.set(ch, (freqMap.get(ch) ?? 0) + 1); } uses Map with get and set methods and handles undefined with nullish coalescing (?? 0).

2. Step 2: Identify errors in other options

   const freqMap = {}; for (let i = 0; i < t.length; i++) { freqMap[t[i]] = freqMap[t[i]] + 1; } uses object but does not initialize counts, causing NaN. const freqMap = new Map(); for (const ch of t) { freqMap[ch] = freqMap[ch] + 1; } uses Map but accesses like object property, which is incorrect. const freqMap = new Map(); for (const ch of t) { freqMap.set(ch, freqMap.get(ch) + 1); } does not handle undefined before adding 1, causing NaN.

3. Final Answer:

   const freqMap = new Map(); for (const ch of t) { freqMap.set(ch, (freqMap.get(ch) ?? 0) + 1); } -> Option C

4. Quick Check:

   Use Map.get with ?? 0 to avoid undefined [OK]

Hint: Use Map.get with ?? 0 to safely increment counts [OK]

Common Mistakes:

• Accessing Map like an object property
• Not initializing counts before increment
• Using object without initializing keys

3. What will be the output of the following TypeScript code snippet for s = "ADOBECODEBANC" and t = "ABC"?

function minWindow(s: string, t: string): string {
  const freqMap = new Map();
  for (const ch of t) freqMap.set(ch, (freqMap.get(ch) ?? 0) + 1);
  let left = 0, right = 0, count = t.length, minLen = Infinity, start = 0;
  while (right < s.length) {
    const ch = s[right];
    if (freqMap.has(ch)) {
      freqMap.set(ch, freqMap.get(ch)! - 1);
      if (freqMap.get(ch)! >= 0) count--;
    }
    while (count === 0) {
      if (right - left + 1 < minLen) {
        minLen = right - left + 1;
        start = left;
      }
      const leftChar = s[left];
      if (freqMap.has(leftChar)) {
        freqMap.set(leftChar, freqMap.get(leftChar)! + 1);
        if (freqMap.get(leftChar)! > 0) count++;
      }
      left++;
    }
    right++;
  }
  return minLen === Infinity ? "" : s.substring(start, start + minLen);
}
console.log(minWindow(s, t));

medium

A. "BANC"

B. "ADOBEC"

C. "CODEBA"

D. "DOBECODEBA"

Solution

1. Step 1: Understand the sliding window approach

   The code uses two pointers expanding and shrinking the window to find the smallest substring containing all chars of t.

2. Step 2: Trace the code with given input

   The minimum window substring containing A, B, and C in s = "ADOBECODEBANC" and t = "ABC" is "BANC".

3. Final Answer:

   "BANC" -> Option A

4. Quick Check:

   Minimum window substring for "ABC" in "ADOBECODEBANC" is "BANC" [OK]

Hint: Use sliding window to shrink when all chars matched [OK]

Common Mistakes:

• Returning first found substring instead of minimum
• Not updating minimum length correctly
• Incorrectly increasing count when shrinking window

4. Identify the bug in the following TypeScript code snippet for Minimum Window Substring and select the fix:

function minWindow(s: string, t: string): string {
  const freqMap = new Map();
  for (const ch of t) freqMap.set(ch, (freqMap.get(ch) ?? 0) + 1);
  let left = 0, right = 0, count = t.length, minLen = Infinity, start = 0;
  while (right < s.length) {
    const ch = s[right];
    if (freqMap.has(ch)) {
      freqMap.set(ch, freqMap.get(ch)! - 1);
      if (freqMap.get(ch)! > 0) count--;
    }
    while (count === 0) {
      if (right - left + 1 < minLen) {
        minLen = right - left + 1;
        start = left;
      }
      const leftChar = s[left];
      if (freqMap.has(leftChar)) {
        freqMap.set(leftChar, freqMap.get(leftChar)! + 1);
        if (freqMap.get(leftChar)! > 0) count++;
      }
      left++;
    }
    right++;
  }
  return minLen === Infinity ? "" : s.substring(start, start + minLen);
}

medium

A. Change condition from if (freqMap.get(ch)! > 0) count--; to if (freqMap.get(ch)! >= 0) count--;

B. Initialize count with 0 instead of t.length

C. Remove the inner while loop

D. Change freqMap.set(ch, freqMap.get(ch)! - 1); to freqMap.set(ch, freqMap.get(ch)! + 1);

Solution

1. Step 1: Identify the condition for decreasing count

   The count should decrease when a needed character is found and its frequency is still >= 0, not > 0.

2. Step 2: Fix the condition

   Changing from > 0 to >= 0 ensures count decreases correctly when the character frequency reaches zero.

3. Final Answer:

   Change condition from if (freqMap.get(ch)! > 0) count--; to if (freqMap.get(ch)! >= 0) count--; -> Option A

4. Quick Check:

   Use >= 0 to count chars correctly [OK]

Hint: Use >= 0 when checking frequency to update count [OK]

Common Mistakes:

• Using > 0 causes missing valid matches
• Incorrect count initialization
• Removing inner loop breaks shrinking window

5. Given strings s = "aabbccdd" and t = "abc", which of the following substrings is the correct minimum window substring containing all characters of t? Consider that characters can appear multiple times in s but only once in t.

hard

A. "aabbc"

B. "abc"

C. "bcca"

D. "abbc"

Solution

1. Step 1: Understand character requirements

   String t requires one 'a', one 'b', and one 'c'. The substring must contain at least these once.

2. Step 2: Find smallest substring in s containing 'a', 'b', 'c'

   "abbc" contains 'a', 'b', 'b', 'c' and is length 4. "abc" does not appear as a contiguous substring in s. "bcca" and "aabbc" are longer substrings.

3. Final Answer:

   "abbc" -> Option D

4. Quick Check:

   Minimum window substring with all chars = "abbc" [OK]

Hint: Check substring length and character coverage carefully [OK]

Common Mistakes:

• Assuming "abc" substring exists exactly
• Ignoring repeated characters in s
• Choosing longer substrings unnecessarily